Strong Limit Theorems for Orthogonal Sequences in von Neumann Algebras

DOI10.2307/2045381zbMath0601.46058OpenAlexW4246033089MaRDI QIDQ3736361

Ryszard Jajte

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045381

zbMATH Keywords

strong limit theoremalmost uniform convergencefaithful normal state on a von Neumann algebra

Mathematics Subject Classification ID

Strong limit theorems (60F15) General theory of von Neumann algebras (46L10)

Related Items

Almost uniform convergence in the noncommutative Dunford-Schwartz ergodic theorem, On multiparameter weighted ergodic theorem for noncommutative \(L_p\)-spaces, Maximal ergodic inequalities for some positive operators on noncommutative Lp$L_p$‐spaces, Algebraic Calderón-Zygmund theory, Second dual projection characterizations of three classes of \(L^0\)-closed, convex, bounded sets in \(L^1\): non-commutative generalizations, Convergences in JW-algebras and in their enveloping von Neumann algebras

Cites Work

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• Pointwise convergence of martingales in von Neumann algebras
• Ergodic theorems for convex sets and operator algebras
• A non-commutative individual ergodic theorem
• The strong law of large numbers for states and traces of aW*-algebra
• Convergence in Measure and Related Results in Finite Rings of Operators